Duality theorems in ergodic transport

DOI10.1007/s10955-012-0626-3zbMath1263.82049arXiv1201.5301OpenAlexW1967881489MaRDI QIDQ1938806

Jairo K. Mengue, Artur Oscar Lopes

Publication date: 25 February 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5301

zbMATH Keywords

periodic orbitsadmissible pairsergodic theorytransport theoryKantorovich dualityoptimal planinvariant probabilityholonomic probabilities

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical aspects of statistical mechanics (37A60)

Related Items (6)

On the Monge-Kantorovich problem with additional linear constraints ⋮ Entropy and variational principle for one-dimensional lattice systems with a generala prioriprobability: positive and zero temperature ⋮ Entropy, pressure and duality for Gibbs plans in ergodic transport ⋮ A strong duality principle for equivalence couplings and total variation ⋮ Duality results for iterated function systems with a general family of branches ⋮ Bayes posterior convergence for loss functions via almost additive thermodynamic formalism

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